Question

find n
plz only with step by step explanations ​

Answer 1

$\frac{1 }{2}$

Step-by-step explanation:

$\sqrt[4]{10000} = ( {100}^{n} ) \\ \sqrt[4]{ {10}^{4} } =( {10}^{2} ) ^{n}$

Now we cut the power 4 from both sides,

$10 = {10}^{2n}$

Comparing bases we get :

$1 = 2n \\ n = \frac{1}{2}$